Computational PDEs

Tim van Beeck

Institut für Numerische und Angewandte Mathematik
Lotzestraße 16-18
D-37083 Göttingen
Email: tim.vanbeeck@stud.uni-goettingen.de
Website: https://timvanbeeck.github.io/
scholar researchgate orcid

I am a first year PhD student supervised by Christoph Lehrenfeld and a member of the CRC 1456. My research is currently focussed the development and analysis of numerical methods for Galbrun's equation, a PDE that models the propagation of waves in the sun. Previously, I wrote my Master's thesis on discontinuous Galerkin discretizations for Galbrun's equation and my Bachelor’s Thesis on a DG discretization for a degenerate diffusion equation in the working group. I have also contributed to a project on unfitted mixed finite element methods.

Travel

Conferences and workshops

  • Conference on Mathematics of Wave Phenomena 2025, Karlsruhe, Germany
  • GAMM Numerical Analysis 2024, Augsburg, Germany
  • GAMM ANLA 2024, Göttingen, Germany
  • CRC 1456 Retreat 2024, Hofgeismar, Germany
  • Chemnitz FEM Symposium 2024, Chemnitz, Germany
  • WCCM 2024, Vancouver, Canada
  • WAVES 2024, Berlin, Germany
  • EFEF 2024, London, UK
  • NGSolve Usermeeting 2024, Vienna, Austria
  • NGSolve Usermeeting 2023, Portland, USA
  • EFEF 2023, Enschede, Netherlands
  • NoKo 2022, Hanover, Germany

Research visits

Publications

  • Martin Halla, Christoph Lehrenfeld, TvB, "Hybrid discontinuous Galerkin discretizations for the damped time-harmonic Galbrun's equation", arXiv preprint, arXiv:2504.09547, (2025), PDF.
  • Patrick E. Farrell, TvB, Umberto Zerbinati, "Analysis and numerical analysis of the Helmholtz-Korteweg equation", arXiv preprint, arXiv:2503.10771, (2025), PDF.
  • TvB, Umberto Zerbinati, "An adaptive mesh refinement strategy to ensure quasi-optimality of the conforming finite element method for the Helmholtz equation via T-coercivity", arXiv preprint, arXiv:2403.06266, (2024), PDF.
  • Christoph Lehrenfeld, TvB, Igor Voulis, "Analysis of divergence-preserving unfitted mixed finite element methods for the mixed Poisson problem.", Math. Comp., (2025), Preprint.

Theses

  • TvB (2023): "On stable discontinuous Galerkin discretizations for Galbrun's equation.", Master's thesis, NAM, University of Göttingen, http.
  • TvB (2021): "On a Discontinuous Galerkin discretization for a degenerate diffusion equation.", Bachelor's thesis, NAM, University of Göttingen, http.